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circle - set of all points in a plane at a given distance from a given point in the plane. Parts of a Circle :. radius - segment from point on circle to circles center. A. center - point in middle of circle with letter next to it. A.
E N D
circle - set of all points in a plane at a given distance from a given point in the plane
A center - point in middle of circle with letter next to it
A Circles are named by their center point.
A This circle is circle A.
O E What is the name of the circle below? N Y M
O E Circle N N Y M
13mm These circles are congruent. 13mm
arc of a circle - two points on the circle and the unbroken part between the two points
endpoints - the two points that define an arc arc of a circle A B
NAMING ARCS An arc is named by its endpoints. A B
THREE TYPES OF ARCS: semicircle - arc whose endpoints are a diameter (half a circle) O B A
THREE TYPES OF ARCS: semicircle - named using three points on the arc; endpoints listed first and last O B A
THREE TYPES OF ARCS: The blue dashed arc is arc AOB or symbolically... O AOB B A
True or False The name of the orange arc below is….. PR Q R P
True or False FALSE…it is PQR RQP Q R P
THREE TYPES OF ARCS: minor arc - arc less than a semicircle Y Z X
THREE TYPES OF ARCS: minor arc - named using the two endpoint letters Y Z X
THREE TYPES OF ARCS: The blue dashed arc is arc YZ or symbolically... YZ ZY Y Z X
True or False The name of the orange arc below is….. KLM k L M J
True or False FALSE. It is….. KM MK k L M J
THREE TYPES OF ARCS: major arc - arc greater than a semicircle Z X Y
THREE TYPES OF ARCS: major arc - named using three points on the arc with endpoints listed first and last Z X Y
THREE TYPES OF ARCS: major arc - named using three points on the arc with endpoints listed first and last Z X Y
THREE TYPES OF ARCS: The blue dashed arc is arc YXZ or symbolically... YXZ ZXY Z X Y
True or False The name of the orange arc below is….. LOU U D O L
True or False FALSE LOD DOL LUD DUL U D O L
chord B A A segment whose endpoints are on the circle.
chord B A AB is a chord.
diameter B A A chord that goes through the center of a circle. C D
diameter B A CD is a diameter. C D
secant B A -line that goes through two points of a circle. C D m
secant B A -line m is a secant C D m
tangent B A -line that touches circle at only one point C D m p
tangent B A -line p is a tangent C D m p
inscribed angle B A -angle made of two chords C D m p
inscribed angle B A -ABC and BCD are inscribed angles C D m p
central angle -angle made of two radii C O D
central angle -COD is a central angle C O D
Name each circle part as either a chord, diameter, secant, tangent, or inscribed angle.
D O central angle DOA A
A diameter
A inscribed angle